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ParthKohli
 one year ago
two numbers are randomly chosen from 1, 3, 5, 7, ..., 145, 147, 149
ParthKohli
 one year ago
two numbers are randomly chosen from 1, 3, 5, 7, ..., 145, 147, 149

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ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0in how many ways can they be chosen so that we have their product divisible by 5?

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0Total numbers: 75. Numbers divisible by 5: 15. CaseI: One number and only one number of the two chosen ones is divisible by 5. \(15\) numbers divisible by 5 and \(60 \) numbers that are not. Thus there are \(15\cdot 60= 900\) such pairs. CaseII: Both numbers divisible by 5.\[\binom{15}{2}=105\]Total numbers: 1005.

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0The given answer is 1020. Am I missing something?

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.0\(\color{white}{bookmark}\)

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0oooh, goddammit. you know what, the original question has a list that goes up to 151 :P

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0in that case, divisible by 5: 15... total: 76

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0so I'm right in a way. I just read the list till 149 lol
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